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Home » An electronic device makes a beep after every 60 seconds. Another device makes a beep after every 62 seconds. They beeped together at 10 a.m. At what time will they beep together at the earliest?
An electronic device makes a beep after every 60 seconds. Another device makes a beep after every 62 seconds. They beeped together at 10 a.m. At what time will they beep together at the earliest?
CBSE | Class 10 | Exercise 1B | Maths | Real Numbers | RS Aggarwal
An electronic device makes a beep after every 60 seconds. Another device makes a beep after every 62 seconds. They beeped together at 10 a.m. At what time will they beep together at the earliest?

Answer:

Beep duration of first device = 60 seconds

Beep duration of second device = 62 seconds

The interval of beeping together = LCM (60, 62)

Using prime factorization,

60 = 22 × 3 × 5

62 = 2 × 31

LCM = 22 × 3 × 5 × 31

LCM = 1860 seconds

Converting seconds to minutes

∴ LCM = 31min

The electronic device will beep together again at 10 : 31 a.m.

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